Worksheet: Exterior Angle Inequality

In this worksheet, we will practice finding the relationship between the angle measures of a triangle and comparing between exterior and interior angles.


What is the sum of the measures of the exterior angles of a triangle?


Is π‘š ∠ 𝐴 𝐷 π‘Œ < , = , or > π‘š ∠ 𝐴 𝐢 𝐷 ?

  • A <
  • B =
  • C >


The figure shows some angles identified on triangle 𝐴 𝐡 𝐢 .

Identify which angle is an exterior angle.

  • A 𝑧
  • B π‘₯
  • C 𝑦

Identify which angle is an interior angle.

  • A 𝑧
  • B π‘₯
  • C 𝑦


Is the measure of two right angles less than, equal to or greater than the sum of the interior angles of a triangle?

  • Agreater than
  • Bless than
  • Cequal to


The figure shows the exterior angles of a given triangle. Find the sum of the exterior angles.


What is the size of an exterior angle of an equilateral triangle?

  • A
  • B
  • C
  • D


Find π‘š ∠ 𝐢 𝐴 𝐸 .


Determine whether the following sentence is true or false: It is possible to draw a triangle on a plane with two obtuse angles.

  • A false
  • B true


In a triangle 𝑋 π‘Œ 𝑍 , if 𝑋 π‘Œ = 𝑋 𝑍 , what type of angle is the exterior angle at vertex 𝑍 ?

  • A right
  • B acute
  • C reflex
  • D obtuse


Which of the following inequalities is correct?

  • A
  • B
  • C
  • D
  • E

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